Finding the Third Proportional to 85,941 and 132,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,941 : 132,799.50 = 132,799.50 : x
2. Step 2: Convert to fraction form
   85,941/132,799.50 = 132,799.50/x
3. Step 3: Cross multiply
   85,941x = 132,799.50 × 132,799.50
4. Step 4: Simplify right side
   85,941x = 17,635,707,200.25
5. Step 5: Solve for x
   x = 17,635,707,200.25/85,941
6. Step 6: Final answer
   x = 205,207.14